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Finding the Third Proportional to 65 and 133

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Solution

The third proportional to 65 and 133 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 133 = 133 : x
  2. Step 2: Convert to fraction form
    65/133 = 133/x
  3. Step 3: Cross multiply
    65x = 133 × 133
  4. Step 4: Simplify right side
    65x = 17,689
  5. Step 5: Solve for x
    x = 17,689/65
  6. Step 6: Final answer
    x = 272.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.